Finding the Third Proportional to 10,114 and 13,395

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 13,395 = 13,395 : x
2. Step 2: Convert to fraction form
   10,114/13,395 = 13,395/x
3. Step 3: Cross multiply
   10,114x = 13,395 × 13,395
4. Step 4: Simplify right side
   10,114x = 179,426,025
5. Step 5: Solve for x
   x = 179,426,025/10,114
6. Step 6: Final answer
   x = 17,740.36